{
  "id": "2206.00072",
  "version": "v1",
  "published": "2022-05-31T19:31:36.000Z",
  "updated": "2022-05-31T19:31:36.000Z",
  "title": "Distributions of Matrices over $\\mathbb{F}_q[x]$",
  "authors": [
    "Yibo Ji"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we give an explicit formula for number of square matrices within an $GL_n(\\mathbb{F}_q[x])$ orbit satisfying some additional restrictions on degrees of the entries. The formula gives an equidistribution result over $\\mathbb{F}_q[x]$ which is an analogue of a result over $\\mathbb{Z}$ proved before.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-31T19:31:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distributions",
      "explicit formula",
      "square matrices",
      "additional restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}